Find the intercepts and use them to graph the equation Y=x-4 A. The intercept(s) is/are (answer)
B. There are no intercepts.

x-intercepts: (1,0), (-1,0)

y-intercept: (0,2), (0,-2)

Step-by-step explanation:

We are given the following in the equation:

4x^2+y^2 = 44x

2

+y

2

=4

x-intercept:

It is the value of x for which y is zero.

$$\begin{lgathered}4x^2 + (0)^2 = 4\\4x^2 = 4\\x^2 = 1\\x = \pm 1\end{lgathered}$$

x-intercepts: (1,0), (-1,0)

y-intercept:

It is the value of y for which x i 0.

$$\begin{lgathered}4(0)^2 + y^2 = 4\\y^2 = 4\\y = \pm 2\end{lgathered}$$

y-intercept: (0,2), (0,-2)

Symmetry around y-axis:

$$\begin{lgathered}4(-x)^2 + y^2 =4 \\4x^2 + y^2 = 4\end{lgathered}$$

Thus, it is symmetric around y-axis.

Symmetry around x-axis:

$$\begin{lgathered}4x^2 + (-y)^2 = 4\\4x^2 + y^2 = 4\end{lgathered}$$

Thus, it is symmetric around x-axis.

Symmetry around origin:

$$\begin{lgathered}4(-x)^2 + (-y)^2 = 4\\4x^2 + y^2 = 4\end{lgathered}$$

Thus, it is symmetric around origin

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet